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J-GLOBAL ID：201701016288230123
Update date: Apr. 11, 2025 Ikeda Masahiro
イケダ マサヒロ | Ikeda Masahiro
Osaka University Graduate School of Information Science and Technology Department of Information Systems Engineering
About Osaka University Graduate School of Information Science and Technology Department of Information Systems Engineering
Other affiliations (2)：
- RIKEN
- Keio University Faculty of Science and Technology
Research field (7)：
Basic analysis
, Mathematical analysis
, Basic mathematics
, Applied mathematics and statistics
, Mathematical informatics
, Information theory
, Mathematical physics and basic theory
Research keywords (11)：
Partial Differential Equations
, Ordinary Differential Equations
, Functional Analysis
, Real Analysis
, Harmonic analysis
, Fourier Analysis
, Dynamical Systems
, Data analysis
, Machine Learning
, グラフ理論
, 数理物理
Research theme for competitive and other funds (10)： - 2025 - 2028 非線形偏微分方程式の大域適切性理論の構築とデータ駆動研究への展開
- 2024 - 2028 Deepening the analysis of deep learning through functional space theory
- 2023 - 2027 Stability of standing waves for the nonlinear Schr\"odinger equation with an external potential
- 2024 - 2025 Data-driven analysis for dynamical systems using Koopman operators in Besov spaces
- 2019 - 2023 Well-posedness and global dynamics of solutions to nonlinear partial differential equations
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- Masaru Hamano, Masahiro Ikeda. Scattering and Blow-Up Dichotomy of the Energy-Critical Nonlinear Schrödinger Equation With the Inverse-Square Potential. Mathematical Methods in the Applied Sciences. 2025
- Takeshi Fukao, Masahiro Ikeda, Shun Uchida. Heat equation on the hypergraph containing vertices with given data. Journal of Mathematical Analysis and Applications. 2024. 540. 1. 128675-128675
- Sho Sonoda, Isao Ishikawa, Masahiro Ikeda. A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks. Journal of Statistical Planning and Inference. 2024. 233. 106184-106184
- Masahiro Ikeda, Motohiro Sobajima, Koichi Taniguchi, Yuta Wakasugi. Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain. Calculus of Variations and Partial Differential Equations. 2024. 63. 9
- Alex H. Ardila, Masaru Hamano, Masahiro Ikeda. Mass-energy threshold dynamics for the focusing NLS with a repulsive inverse-power potential. Evolution Equations and Control Theory. 2024. 13. 5. 1401-1422
- Naoya Hatano, Masahiro Ikeda, Ryota Kawasumi. Boundedness of composition operators from Lorentz spaces to Orlicz spaces. 2024
- Naoya Hatano, Masahiro Ikeda. Smoothing estimate for the heat semigroup with a homogeneous weight on Morrey spaces. 2024
- Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi. Boundedness of composition operator in Orlicz-Morrey spaces. 2024
- Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Yoshinobu Kawahara. Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces. 2024
- Sho Sonoda, Isao Ishikawa, Masahiro Ikeda. A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks. 2024
Lectures and oral presentations (158)：
-
Heat on the hypergraph containing vertices with given data
(日本数学会・2022年度秋季総合分科会 2022) -
BBM--Burgersの初期値問題の解の漸近挙動
(日本数学会・2022年度秋季総合分科会 2022) -
On global existence and asymptotic behavior for nonlinear damped wave equations on measure spaces
(2022) -
Global dynamics of Mass-Energy threshold for NLS with an inverse-power potential
(日本数学会・2022年度秋季総合分科会 2022) -
On stability and instability of standing waves for 2d- nonlinear Schrödinger equations with point interaction
(Trials in Wave Turbulance: from random waves to kinetic equations 2022)
- 2010 - 2013 大阪大学大学院 理学研究科 数学専攻博士後期課程
- 2008 - 2010 大阪大学大学院 理学研究科 数学専攻博士前期課程
- 2004 - 2008 Osaka University School of Science Department of Mathematics
- Doctor (Osaka University)
- 2025/02 - 現在 RIKEN
- 2025/02 - 現在 Osaka University Graduate School of Information Science and Technology Department of Information Systems Engineering
- 2024/10 - 現在 CREST「決定論的支配方程式による非線形・散逸・偶然性の動力学」, 関数空間論班, メンバー
- 2024/10 - 現在 CREST「1細胞データ科学を介した融合数理の革新」, 関数空間論班, メンバー
- 2017/04 - 現在 Keio University Faculty of Science and Technology Visiting researcher
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- 2023/11 - 第26回情報論的学習理論ワークショップ(IBIS2023) 優秀プレゼンテーション賞 ファイナリスト ニューラルネットのパラメータに作用する双対群と普遍性定理の表現論的証明
- 2020/12 - 第23回情報論的学習理論ワークショップ(IBIS2020) 優秀発表賞
- 2017/11 - 日本数学会 異分野・異業種研究交流会2017 ベストポスター発表
- 2015/09 - 日本数学会 建部賢弘賞 奨励賞
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